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ITMC 2018 Grade 11 National Preliminary set01 Question 26

ITMC · ITMC 2018 Grade 11 National Preliminary set01

Question 26

If the answer is not an integer, give the nearest integer. If the calculated answer has more than five digits, give its last five digits.

Right triangle $TMC$ has $\angle TMC=90^\circ$. Its incircle touches $CT$ at $R$, with $CR=25$ and $RT=61$. Find the triangle area in square units.